People often make choices that go against their own best interests. In the controversial bestseller "Nudge," Richard Thaler and Cass Sunstein argue that people can benefit from simple "nudges" to improve their decision-making. In an upper-level undergraduate course on political decision-making, I created a series of assignments around "Nudge." In…

Project-based learning is a research-based instructional tool that has proven to be effective in all secondary curricular disciplines, particularly in the areas of science, technology, engineering, and mathematics (STEM). A project is an applied activity, often hands-on, where the students are challenged to successfully address a problem. In many…

Using games as a learning tool is not new--research abounds to demonstrate the use of video games enhancing problem-solving skills and creativity. Pioneer educational games, like Carmen Sandiego and Oregon Trail, have given birth to online, multiuser, digital simulations that would make their forebears blush. Now, in what seems to be a natural…

In this article, the author reports on a seminar for first-year college students that weaves mathematical proof and problem-solving together with discussions of cultural, philosophical, and aesthetic issues surrounding mathematics. The author's goal is for students to learn some mathematics, and--just as important--to think about the nature of…

The absolute value learning objective in high school mathematics requires students to solve far more complex absolute value equations and inequalities. When absolute value problems become more complex, students often do not have sufficient conceptual understanding to make any sense of what is happening mathematically. The authors suggest that the…

The Department of Physics at EKU [Eastern Kentucky University] with support from the National Science Foundations Course Curriculum and Laboratory Improvement Program has successfully converted our entire introductory physics sequence, both algebra-based and calculus-based courses, to an activity-based format where laboratory activities,…

Girls in Engineering, Mathematics and Science (GEMS) is a science and math outreach program for middle-school female students. The program was developed to encourage interest in math and science in female students at an early age. Increased scientific familiarity may encourage girls to consider careers in science and mathematics and will also help…

Dynamic geometry software (DGS) is often used for development of interactive teaching materials in many subjects, not only mathematics. These interactive materials can contain hundreds of elements in order to represent complex objects, and script programs to control their behavior. We propose an approach for creating, importing and using…

A lot has been said about what to teach in ICT in primary and secondary education. There are serious discussions even debates about it. Much less has been said about why ICT should be taught. [1] Competences are related actions and tasks done by people (somebody is competent in a certain field if they are able to solve common tasks related to that…

Principals' wheelbarrows are full of initiatives: closing learning gaps, preparing for the Common Core State Standards, differentiating instruction, and improving college and career readiness, to name a few. Meanwhile, principals have too few assets in their toolboxes to meet all the hefty demands. Taking the long view, it becomes clear that true…

If it is true that "new discoveries in neuroscience suggest that school readiness interventions might come too late if they start after the child is three years old", then the infant/toddler field must claim the concept of school readiness. The brain's foundation for all later learning is created in the first three years of life. As many…

International students represent a large economic and international relations investment for Australia. Australian universities are increasingly relying upon overseas students for their revenue, but these institutions are not adequately addressing the special learning, linguistic, cultural and religious needs of these students. Despite their…

This article describes an action research project in which a sixth-grade teacher engaged students in writing about their problem-solving efforts. The written mathematical work provided new artifacts for examining students' metacognitive and mathematical communication skills, prompting the teacher to make instructional changes to address students'…

The author is a strong proponent of incorporating the Content and Process Standards (NCTM 2000) into the teaching of mathematics. For candidates in her methods course, she models research-based best practices anchored in the Standards. Her students use manipulatives, engage in problem-solving activities, listen to children's literature, and use…

Two people take turns selecting from an even number of items. Their relative preferences over the items can be described as a permutation, then tools from algebraic combinatorics can be used to answer various questions. We describe each person's optimal selection strategies including how each could make use of knowing the other's preferences. We…